메뉴 건너뛰기




Volumn 81, Issue 2, 2001, Pages 99-118

Uniqueness and non-uniqueness in the steady displacement of two visco-plastic fluids

Author keywords

Existence and uniqueness; Finger width selection; Variational inequality; Visco plastic fluid

Indexed keywords


EID: 23044524314     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/1521-4001(200102)81:2<99::AID-ZAMM99>3.0.CO;2-Q     Document Type: Article
Times cited : (25)

References (15)
  • 2
    • 0031541165 scopus 로고    scopus 로고
    • On the steady-state advancement of fingers and bubbles in a Hele-Shaw cell filled by a non-Newtonian fluid
    • ALEXANDROU, A. N.; ENTOV, V.: On the steady-state advancement of fingers and bubbles in a Hele-Shaw cell filled by a non-Newtonian fluid. Europ. J. Appl. Math. 8 (1997), 73-87.
    • (1997) Europ. J. Appl. Math. , vol.8 , pp. 73-87
    • Alexandrou, A.N.1    Entov, V.2
  • 3
    • 0034539016 scopus 로고    scopus 로고
    • Static wall layers in the displacement of two visco-plastic fluids in a plane channel
    • ALLOUCHE, M.; FRIGAARD, I. A.; SONA, G.: Static wall layers in the displacement of two visco-plastic fluids in a plane channel. J. Fluid Mech. 424 (2000), 243-277.
    • (2000) J. Fluid Mech. , vol.424 , pp. 243-277
    • Allouche, M.1    Frigaard, I.A.2    Sona, G.3
  • 4
    • 0030291473 scopus 로고    scopus 로고
    • Miscible displacements in capillary tubes. Part 2: Numerical simulations
    • CHEN, C.-Y.; MEIBURG, E.: Miscible displacements in capillary tubes. Part 2: Numerical simulations. J. Fluid Mech. 326 (1996), 57-90.
    • (1996) J. Fluid Mech. , vol.326 , pp. 57-90
    • Chen, C.-Y.1    Meiburg, E.2
  • 6
    • 0003833784 scopus 로고    scopus 로고
    • Chapters 3-7 and 13. Fluent Inc.
    • FIDAP 1998, Chapters 3-7 and 13. In: FIDAP 8 Theory Manual. Fluent Inc.
    • (1998) FIDAP 8 Theory Manual
  • 8
    • 0003351286 scopus 로고
    • Mud removal
    • NELSON, E. B. (ed.): Ch. 5. Schlumberger Educational Services
    • GUILLOT, D.; HENDRIKS, H.; CALLET, F.; VIDICK, B.: Mud removal. In: NELSON, E. B. (ed.): Well Cementing. Ch. 5. Schlumberger Educational Services 1990.
    • (1990) Well Cementing
    • Guillot, D.1    Hendriks, H.2    Callet, F.3    Vidick, B.4
  • 9
    • 33747812312 scopus 로고
    • Fundamentals of two-fluid dynamics. Part I: Mathematical theory and applications
    • Springer
    • JOSEPH, D. D.; RENARDY, Y. Y.: Fundamentals of two-fluid dynamics. Part I: Mathematical theory and applications. Springer 1993 (Interdisciplinary Applied Mathematics 3), pp. 27-43.
    • (1993) Interdisciplinary Applied Mathematics 3 , pp. 27-43
    • Joseph, D.D.1    Renardy, Y.Y.2
  • 10
    • 0001594883 scopus 로고    scopus 로고
    • Selection of the Saffman-Taylor finger width in the absence of surface tension: An exact result
    • MINEEV-WEINSTEIN, M.: Selection of the Saffman-Taylor finger width in the absence of surface tension: an exact result. Phys. Rev. Lett. 80 (1998) 10, 2113-2116.
    • (1998) Phys. Rev. Lett. , vol.80 , Issue.10 , pp. 2113-2116
    • Mineev-Weinstein, M.1
  • 11
    • 0022888394 scopus 로고
    • Viscous fingering in Hele-Shaw cells
    • SAFFMAN, P. G.: Viscous fingering in Hele-Shaw cells. J. Fluid Mech. 173 (1986), 73.
    • (1986) J. Fluid Mech. , vol.173 , pp. 73
    • Saffman, P.G.1
  • 12
    • 0001383598 scopus 로고
    • The penetration of a finger into a porous medium in a Hele-Shaw cell containing a more viscous liquid
    • SAFFMAN, P. G.; TAYLOR, G. I.: The penetration of a finger into a porous medium in a Hele-Shaw cell containing a more viscous liquid. Proc. Roy. Soc. London A245 (1958), 312.
    • (1958) Proc. Roy. Soc. London , vol.A245 , pp. 312
    • Saffman, P.G.1    Taylor, G.I.2
  • 13
    • 84973372386 scopus 로고
    • Cementing
    • Society of Petroleum Engineers chapter 6
    • SMITH, D. K.: Cementing. SPE monograph series (Society of Petroleum Engineers 1987), chapter 6, pp. 82-106.
    • (1987) SPE Monograph Series , pp. 82-106
    • Smith, D.K.1
  • 14
    • 0025517034 scopus 로고
    • The Saffman-Taylor problem for a non-Newtonian liquid
    • WILSON, S. D. R.: The Saffman-Taylor problem for a non-Newtonian liquid. J. Fluid Mech. 220 (1990), 413-425.
    • (1990) J. Fluid Mech. , vol.220 , pp. 413-425
    • Wilson, S.D.R.1
  • 15
    • 0001414396 scopus 로고    scopus 로고
    • Asymptotic solutions of miscible displacements in geometries of large aspect ratio
    • YANG, Z.; YORTSOS, Y. C.: Asymptotic solutions of miscible displacements in geometries of large aspect ratio. Phys. Fluids 9 (1997) 2, 286-298.
    • (1997) Phys. Fluids , vol.9 , Issue.2 , pp. 286-298
    • Yang, Z.1    Yortsos, Y.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.